mini project on bezier curves using visual studio

7/23/2019 Mini Project on Bezier Curves Using visual studio.

1/22

CG[JGS NWSRG^ _ a i g p 1

NMA_UGS 1

JLUSDEWNUJDL

Cg{jgs Nwsrg~

Jl haumghaujna` bjgè db lwhgsjna` ala`z~j~, a CG[JGS NWSRG j~ a pasahgusjn nwsrg jhpdsualu

jl Ndhpwugs Isapmjn~ ale sgàuge bjgè~ Cg{jgs nwsrg~ ygsg yjeg`z pwc`jnj{ge jl 1:23 cz a

Bsglnm Glijlggs _jgssg Cg{jgs ymd w~ge umgh ud eg~jil awudhdcj`g cdejg~ Umg nwsrg~ ygsg bjs~u

egrg`dpge jl 1:7: cz _aw` eg Na~u`gkaw w~jli umg Na~u`gkaw~ aìdsjumh, a lwhgsjna``z ~uac`g

hgumde ud gra`waug Cg{jgs Nwsrg~

Jl Rgnuds isapmjn~, Cg{jgs Nwsrg~ asg al jhpdsualu udd` w~ge ud hdeg` ~hddum nwsrg~ umau nal cg

~na`ge jlegbjljug`z _aum~, a~ umgz asg ndhhdl`z sgbgssge ud jl jhaig haljpwàujdl psdisah~

~wnm a~ Jlf^napg, Aedcg J``w~usauds, Aedcg _mdud~mdp, ale IJH_ asg ndhcjlaujdl~ db Cg{jgs

Nwsrg~ paunmge udigumgs _aum~ asg ldu cdwle cz umg `jhju~ db sa~ugsj{ge jhaig~ ale asg jluwjujrg

ud hdejbz

Cg{jgs nwsrg~ marg ~dhg jlugsg~ujli psdpgsujg~, wl`jfg dumgs nà~~g~ db nwsrg~6 umgz nal bdè drgsdl umgh~g`rg~ Umgz nal a`~d cg kdjlge udigumgs ud bdsh ~hddum, ndlujlwdw~ ~mapg~ Bjiwsg 1

~mdy~ al g}ahp`g db a nwcjn Cg{jgs Nwsrg yjum a ~hddum nwsrauwsg

Bji; 11 Nwcjn Cg{jgs Nwsrg

Egpu db N^G, G_NGU 3??= ( ?:
http://en.wikipedia.org/wiki/File:Bezier_curve.svg


2/22


Cgbdsg J id yjum umg ugnmljna` eguaj`~ db mdy ud ysjug a psdisah bds umg nsgaujdl db Cg{jgs Nwsrg,

`gu hg bjs~u ijrg zdw a sdwim jega db mdy ud ndl~uswnu a Cg{jgs Nwsrg isapmjna``z Ud ndl~uswnu a

nwcjn Cg{jgs nwsrg yg lgge bdws ndlusd` pdjlu~ Egpglejli dl umg a`jilhglu db umg~g pdjlu~ umg

nwsrg igu~ ndl~uswnuge Yg nal wlegs~uale umj~ n`gas`z cz `ddfjli au umg bjiwsg cg`dy



3/22

CG[JGS NWSRG^ _ a i g p >



4/22


Bji; 13 ^wcejrj~jdl db a nwcjn Cg{jgs Nwsrg

Mgsg _?,_1,_3,_> asg umg bdws ndlusd` pdjlu~ ale u85 j~ umg jlugsra` au ymjnm umg nwsrg j~ iguujlinsgauge

NMA_UGS 3

SGQWJSGHGLU^



5/22


3,1 Maseyasg Sgqwjsghglu~;

_glujwh ds mjimgs psdng~~ds, 12 HC ds hdsg SAH, a ~ualease fgzcdase, a Hjnsd~dbu

ndhpaujc`g hdw~g ale a RIA hdljuds Jb umg w~gs yalu~ ud ~arg umg nsgauge bj`g~ a

~gndleasz ~udsaig hgejwh nal cg w~ge

3,3 ^dbuyasg Sgqwjsghglu~;

Hjnsd~dbu Rj~wa` N&& yjum DpglI@ -G}psg~~P^ualease Gejujdl*

Yjledy~ ]_ ds mjimgs rgs~jdl

Lgu bsahgydsf 3? -bds Rj~wa` ^uwejd 3??7*

NMA_UGS >

EG^JIL

Umj~ psdkgnu j~ egrg`dpge w~jli Hjnsd~dbu Rj~wa` N&& yjum DpglI@ a~ al anaeghjn psdkgnu

w~jli fgzcdase ale hdw~g Umj~ psdkgnu j~ jhp`ghgluge cz hafjli w~g db g}ugl~jrg w~g db

`jcsasz bwlnujdl~ dbbgsge cz isapmjn panfaig db DpglI@ Umg hd~u jhpdsualu db a`` j~ umg



6/22


DpglI@ Gra`wauds~, yjumdwu ymjnm hz psdisah ydwèlu cg pd~~jc`g ud jhp`ghglu A `j~u db

~ualease `jcsasz bwlnujdl~ umau asg w~ge asg ijrgl cg`dy A lwhcgs db w~gs egbjlge bwlnujdl~ a`~d

marg cggl w~ge ale a ~whhasz db umd~g bwlnujdl~ bd``dy~ umj~ `j~u db ~ualease `jcsasz bwlnujdl~

@gu hg bjs~u ~uasu cz g}pàjljli acdwu umg DpglI@ Gra`wauds~

DpglI@ Gra`wauds~

Umg DpglI@ Gra`wauds bwlnujdl a``dy~ w~ ud w~g a pd`zldhja` happjli ud psdewng

rgsujng~, ldsha`~, ug}uwsg nddsejlaug~, ale nd`ds~

Umg~g na`nwàuge ra`wg~ asg umgl pa~~ge dl ud umg psdng~~jli pjpg`jlg a~ jb umgz mae cgglejsgnu`z ~pgnjbjge

Umg Gra`wauds~ bwlnujdl~ asg a`~d umg ca~j~ bds umg LWSC^-Ldl(Wljbdsh Saujdla` C(

^p`jlg* bwlnujdl~ ymjnm a``dy~ w~ ud egbjlg nwsrg~ ale ~wsbang~

Umg~g LWSC^ bwlnujdl nal cg w~ge ud iglgsaug ldl wljbdsh ~panjli db pdjlu~

Alz pd`zldhja` bdsh nal cg ndlrgsuge ud Cg{jgs bdsh cz psdpgs iglgsaujdl db ndlusd`

pdjlu~

Umw~ LWSC^ bwlnujdl a``dy~ bjlgs ndlusd` db umg ~pang ale sglegsjli db umg ~wsbang

i`Hap1b-uzpg wThjl wTha} ~usjeg dsegs pdjluTassaz*6

Umg egbjljujdl db a Dlg ejhgl~jdla` gra`wauds j~ a~ ~mdyl acdrg Ymgsg

wThjl ale wTha} egbjlg~ umg edhajl bds pasahgugs w

ûsjeg; Umg lwhcgs db b`dau~ ds edwc`g~ cguyggl umg cgijlljli db dlg ndlusd` pdjlu ale

umg cgijlljli db umg lg}u dlg jl umg eaua ~uswnuwsg sgbgsglnge jl pdjlu~ Umg dl`z

ndl~usajlu j~ umau umg ra`wg~ bds a pasujnwàs ndlusd` pdjlu hw~u dnnwpz ndlujiwdw~

hghdsz `dnaujdl~

Dsegs; Ju~ umg lwhcgs db ndlusd` pdjlu~-ma~ ud cg pd~jujrg*

_djlu~; A pdjlugs ud umg assaz db ndlusd` pdjlu~



7/22


i`HapIsje1b-I`jlu wl I@b`dau w1 I@b`dau w3*6

i`HapIsje ale i`Gra`Hg~m asg w~ge udigumgs ud gbbjnjglu`z iglgsaug ale gra`waug a ~gsjg~

db grgl`z ~pange hap edhajl ra`wg~ i`HapIsje1 ~pgnjbjg~ umg `jlgas isje happjli

cguyggl wl jlugigs isje nddsejlaug~ ud w1" w3 b`daujli pdjlu gra`waujdl hap

nddsejlaug~

wl; ^pgnjbjg~ umg lwhcgs db pasujujdl jl umg isje salig jlugsra`

w1" w3; ^pgnjbjg~ umg happjli bds umg jlugigs isje edhajl ra`wg~-j8? ud j8wl*

i`Gra`Hg~m1-I@glwh hdeg I`jlu j1 I`jlu j3*6

i`Gra`Hg~m ~ugp~ umsdwim umg jlugigs edhajl db 1 ds 3 ejhgl~jdla` isje ymd~g salig j~

umg edhajl db umg gra`waujdl hap~ ~pgnjbjge cz i`Hap1 ale i`Hap3

hdeg; ~pgnjbjg~ ymgumgs ud ndhpwug a dlg(ejhgl~jdla` hg~m db pdjlu~ ds `jlg~

^zhcd`jn ndl~ualu~ I@T_DJLU ale I@T@JLG asg anngpuge

j1 " j3; ^pgnjbz umg bjs~u ale à~u jlugigs ra`wg~ bds isje edhajl rasjac`g j

i`wuJlju -*6

Umj~ bwlnujdl egbjlg~ umg jlugsanujdl cguyggl umg yjledyjli ~z~ugh ale umg DpglI@

Egnàsaujdl;

i`wuJlju-"asin, asir*6

i`wuJljuEj~pàzHdeg -*6

Mgsg yg ~pgnjbz SIC nd`ds ~z~ugh ale a`~d edwc`g cwbbgsjli

Egnàsaujdl;

i`wuJljuEj~pàzHdeg-I@WUTSIC*6

i`wuJljuYjledy^j{g-*6

Umj~ bwlnujdl ~pgnjbjg~ a yjledy jl umg udp `gbu ndslgs db umg ej~pàz

Egnàsaujdl;

i`wuJljuYjledy^j{g-yjeum, mgjimu*6



8/22

CG[JGS NWSRG^ _ a i g p =

i`wuNsgaugYjledy-*6

Umj~ nsgaug~ al DpglI@ yjledy w~jli umg i`wu bwlnujdl ymgsg umg uju`g au umg udp db umg yjledy

j~ ijrgl cz umg ~usjli jl~jeg umg pasahgugs db umg acdrg bwlnujdl

Egnàsaujdl;

i`wuNsgaugYjledy-W~g db 3E ~mapg~ ale Usal~bdshajdl~*6

i`wuSg~mapgBwln-*6

Umg sg~mapg grglu j~ iglgsauge ymglgrgs umg yjledy j~ sg~j{ge, ~wnm a~ w~gs jlugsanujdl

Egnàsaujdl;

i`wuSg~mapgBwln-hzSg~mapg*6

i`wuEj~pàzBwln-* 6

Isapmjn~ asg ~glu ud umg ~nsggl umsdwim a bwlnujdl na``ge umg ej~pàz na`` canf, mgsg umg bwlnujdl

lahge bwln yj`` cg na``ge ymglgrgs umg yjledyjli ~z~ugh egugshjlg~ umau DpglI@ yjledy

lgge~ ud cg sgej~pàzge

Egnàsaujdl;

i`wuEj~pàzBwln-ej~pàz*6

i`wuJe`gBwln-*6

i`wuJe`g bwlnujdl nmgnf~ je`g na`` canf jg ju nal pgsbdsh a canfisdwle psdng~~jli ua~f ds

ndlujlwdw~ aljhaujdl ymgl yjledy~ ~z~ugh grglu~ asg ldu cgjli sgngjrge

Egnàsaujdl;

i`wuJe`gBwln-hzJe`gBwln*6

i`wuHdw~gBwln-*6

Umj~ bwlnujdl male`g~ hdw~g n`jnf grglu~

Egnàsaujdl;

i`wuHdw~gBwln-hzHdw~g*6



9/22

CG[JGS NWSRG^ _ a i g p :

i`wuFgzcdaseBwln-*6

Umj~ bwlnujdl male`g~ fgzcdase grglu~

Egnàsaujdl;

i`wuFgzcdaseBwln-hzFgz*6

i`N`gasNd`ds-*6

i`Nd`ds>b-*6

Jl SIC nd`ds yg marg umsgg auusjcwug~ ud ~gu Umg bjs~u j~ umg n`gas nd`ds, ymjnm j~ ~gu ud cànf ale

yg nal ~g`gnu umg sglegsjli nd`ds bds pdjlu~ cz ~guujli umg ~uaug db umg rasjac`g ud cànf cz w~jli

umg bd``dyjli bwlnujdl na``

Egnàsaujdl;

i`N`gasNd`ds-??,??,??,??*6

i`Nd`ds>b-??,??,??*6

rdje hzHdw~g-*6

Umj~ j~ umg hdw~g na``canf bwlnujdl Yjumjl umg na``canf bwlnujdl, yg egbjlg umg anujdl~ umau yg

yalu ud uafg pàng jb umg ~pgnjbjge grglu dnnws~

Egnàsaujdl;

rdje hzHdw~g-jlu cwuudl, jlu ~uaug, jlu }, jlu z*

v

jb-cul88I@WUT@GBUTCWUUDL "" ~uaug 88 I@WUTEDYL*

;

x

rdje hzFgz-*6



10/22

CG[JGS NWSRG^ _ a i g p 1?

Umj~ j~ umg fgzcdase na``canf bwlnujdl Yjumjl umg na``canf bwlnujdl, yg egbjlg umg anujdl~ umau

yg yalu ud uafg pàng jb umg ~pgnjbjge grglu dnnws~

Egnàsaujdl;

rdje hzFgz-wl~jilge nmas fgz, jlu }, jlu z*

v

na~g c; na~g C; esaynwsrg~-*6

;

na~g )Q); g}ju-?*6

csgaf6

x

rdje esaynwsrg~-*6

Umg esaynwsrg~ bwlnujdl j~ umg mgasu db umg psdisah, ymjnm j~ sg~pdl~jc`g bds umg nsgaujdl db

cg{jgs nwsrg~ Jl umj~ bwlnujdl yg w~g DpglI@ Gra`wauds~ `jfg i`Hap, i`HapIsje, ale

i`Gra`Hg~m udigumgs jl a bds `ddp db umg salig ? ud lnpu~, ymgsg lnpu~ j~ umg ha}jhwh

lwhcgs db pdjlu~ ud cg p`duuge dl umg ~nsggl

Egnàsaujdl;

rdje esaynwsrg~- *

v

;

x

i`wu_d~uSgej~pàz-*6



11/22


Umj~ gl~wsg~ umau umg ej~pàz yj`` cg esayl dl`z dlng ganm ujhg umg psdisah idg~ umsdwim umg

grglu `ddp Ju ardje~ g}usa ds wllgng~~asz ~nsggl esayjli~ cz ~guujli a bài jl~jeg I@WU~ hajl

`ddp jlejnaujli umau umg ej~pàz lgge~ ud cg sgesayl

rdje ej~pàz-rdje*

Umj~ bwlnujdl j~ umg na``canf bwlnujdl bds Ej~pàzBwln Umj~ bwlnujdl j~ haleaudsz cgnaw~g

I@WU sgqwjsg~ umau a`` psdisah~ marg a ej~pàz na``canf

rdje hzSg~mapg-jlu yjlu m*

Umj~ bwlnujdl j~ w~ge ymglgrgs umg yjledy j~ sg~j{ge Jl dws psdisah yg lgge umg sgqwjsge

ej~pàz na``canf bds esayjli cgnaw~g umg psjhjujrg~ asg iglgsauge ymgl a hdw~g grglu dnnws~

NMA_UGS 5

UGÛJLI ALE SG^W@U^

Umg psdkgnu eg~jilge ma~ cggl ug~uge bds ju~ ydsfjli, ale j~ bdwle ud cg ydsfjli psdpgs`z

ud hggu a`` ju~ sgqwjsghglu~ Umg psdkgnu ma~ cggl bdwle ud cg ijrjli ndssgnu dwupwu~ ud umg jlpwu~

umau ygsg ijrgl, `jfg umg appsdpsjaug ej~pàzjli db umg dwupwu, ale bd``dyjli appsdpsjaugndlejujdl~ bds ugshjlaujdl db umg psdisah gun

Umg eg~jilge psdkgnu ma~ cggl ug~uge bds gssds~

ale ma~ cggl bdwle ud cg hggujli a`` umg sgqwjsghglu~ db eg~jil yjum ymjnm ju ya~ ~uasuge

Umw~ umg psdkgnu j~ egnàsge ud cg ydsfjli psdpgs`z



12/22


Bji 51; Cwjèjli umg ~d`wujdl

Umg acdrg bjiwsg ~mdy~ ymgsg ud n`jnf ud cwjè ~d`wujdl

Bji 53; Dwupwu db cwjè



13/22

CG[JGS NWSRG^ _ a i g p 1>

Umg acdrg bjiwsg ~mdy~ umg dwupwu abugs ju ma~ cggl ndhpj`ge, a~ ju ndluajl~ ? gssds~ ale au umg

`dygs `gbu ndslgs yg marg Cwjè ^wnnggege, ~d ju j~ ldy sgaez bds egcwiijli

Bji 5>; ûasu egcwiijli

Abugs Cwjèjli umg ~d`wujdl yg lgge ud Egcwi ju cgbdsg ~uasujli umg g}gnwujdl Ud egcwi umg ~d`wujdl yg

lgge ud id ud Egcwi dpujdl, a esdp edyl hglw appgas~ a~ ~mdyl jl umg bjiwsg acdrg6 ldy ~g`gnu ûasu

Egcwiijli dpujdl Au umg gle, umg g}gnwujdl yjledy dpgl~ ale yg nal jhp`ghglu umg Cg{jgs Nwsrg~



14/22


Bji 55; A bdws pdjlu ~jhp`g Cg{jgs Nwsrg

Abugs n`jnfjli dl umg ^uasu Egcwiijli dpujdl jljuja``z yg a igu a ymjug ~nsggl ymjnm anu~ a~ a

p`aubdsh ud esay dws nwsrg~ Cz w~jli hdw~g yg ~pgnjbz umg `dnaujdl db umg pdjlu~ ale psg~~ c

A nwsrg a~ ~mdyl jl umg bjiwsg acdrg igu~ nsgauge Yg nal gsa~g umg nwsrg cz psg~~jli g Ud

n`gas umg ~nsggl yg lgge ud psg~~ n Ud g}ju bsdh umg dwupwu yjledy yg lgge ud psg~~ q



15/22


Bji 57; A 12 pdjlu Cg{jgs Nwsrg

NMA_UGS 7

NDLN@W^JDL



16/22


Umsdwim umj~ psdkgnu yg marg haeg a ~jlngsg auughpu ud egrg`dp al DpglI@ isapmjn~

panfaig ymjnm hggu~ a`` umg lgng~~asz sgqwjsghglu~ umau ygsg ~gu dwu bds w~ jl dws ~z``acw~ Umg

hajl jega cgmjle umj~ psdkgnu j~ ud csjli udigumgs umg jega~ db Haumghaujna` nwsrg~ ale Isapmjn~

psdisahhjli jlud dlg ndhp`g} wlju ymjnm nal cg jhp`ghgluge Dlg hdsg dckgnujrg db

jhp`ghglujli umj~ psdkgnu j~ ud mjim`jimu umg jhpdsualng db umg Cg{jgs Nwsrg~ jl Isapmjn~

_sdisahhjli Dws psdkgnu j~ ldu dl`z w~gs bsjgle`z ale jlugsanujrg cwu a`~d ijrg~ ydsumz

jlbdshaujdl acdwu umg ndl~uswnujdl db Cg{jgs Nwsrg~ yjum hjljhwh db ugnmljna` kasidl

NMA_UGS 2

BWUWSG GLMALNGHGLU^



17/22


Umj~ psdkgnu j~ hajl`z ndlngslge yjum umg eg~jil ale jhp`ghgluaujdl db Nwcjn Cg{jgs

Nwsrg~ Mdygrgs jhp`ghgluaujdl db mjimgs dsegs Cg{jgs Nwsrg~ j~ ldu al jhpd~~jc`g ua~f Dlg

hdsg umjli umau J marg ud hglujdl bds umg bwuwsg glmalnghglu j~ umau umg jlnsga~g jl umg lwhcgs db

ndlusd` pdjlu~ A`umdwim J marg w~ge umg mg`p db DpglI@ Gra`wauds~ jl hz psdisah, ju j~ ldu au

a`` a ndhpw`~jdl Yjum mjimgs dsegs nwsrg~ yg nal grgl nsgaug ndhp`g} esayjli~ `jfg umg dlg

~mdyl cg`dy

Bji; 21 Bdlu egbjljujdl w~jli Cg{jgs Nwsrg~

Ds hazcg zdw nal jhp`ghglu a Cg{jgs nwsrg db egisgg 5 ds 9 Cg{jgs Nwsrg~ db ejbbgsglu egisgg~

asg ~mdyl cg`dy



18/22

CG[JGS NWSRG^ _ a i g p 1=

Bji; 23 Cg{jgs Nwsrg~ db egisgg~ wp ud ~grgl

A`umdwim umj~ hjimu igu a `juu`g ndhp`jnauge cwu ldu au a`` jhpd~~jc`g Yg lgge ud ed ~dhg hjlds

aekw~uhglu jl dws a`idsjumh ale yg lgge ud ysjug a ymd`g lgy ~dwsng ndeg bds a 9um dsegs Cg{jgs

nwsrg

CJC@JDISA_MZ



19/22

CG[JGS NWSRG^ _ a i g p 1:

Cddf~;

1 Geyase Alig`; ( Jlugsanujrg Ndhpwugs Isapmjn~; A Udp(Edyl Appsdanm yjum DpglI@,

7um Gejujdl, Aeej~dl(Yg~`gz, 3??=

3 Ndhpwugs Isapmjn~ _sjlnjp`g~ " _sanujng; Bd`gz, ral Eah, Bgjlgs, Mwig~;( ~gndle

gejujdl

Ygc Sg~dwsng~;

1 muup;$$yyydpgli`dsi

3 muup;$$yyyyjfjpgejadsi

> muup;$$yyy~w`anddsi

A__GLEJ] ^DWSNG NDEG



20/22

CG[JGS NWSRG^ _ a i g p 3?

.jln`weg#~ueab}m#

.jln`weg0I@$i`wumX6jlu lnpu~8?6~uaujnjlu yjeum87??,mgjimu87??6

rdje esaynwsrg~-*v

jlu j6bds-j8?6j0lnpu~(>6j&8>*

v i`Hap1b-I@THA_1TRGSUG]T>,??,1?,>,5,npu~VjX*6$$~gu~ wp al gra`wauds bds$$salig ? ud 1

i`HapIsje1b->?,??,1?*6$$~gu~ wp a gqwa``z ~pange isje db >? pasujujdl cgul ?"1i`Gra`Hg~m1-I@T@JLG,?,>?*6$$sglegs~ jl hdeg I@T@JLG a`` glac`ge gra`wauds~

$$bsdh ? ud >?xi`B`w~m-*6

x

rdje ej~p`az-*v

jlu j6i`N`gas-I@TND@DSTCWBBGSTCJU*6i`Cgijl-I@T_DJLU^*6bds-j8?6j0lnpu~6j&&*i`Rgsug}>br-npu~VjX*6i`Gle-*6i`B`w~m-*6

x

rdje hdw~g-jlu cwuudl,jlu ~uaug,jlu },jlu z*v

b`dau y},yz6jb-cwuudl88I@WUT@GBUTCWUUDL""~uaug88I@WUTEDYL*v

y}8-3?+}*$-b`dau*-yjeum(1*(1?6yz8-3?+-mgjimu(1(z**$-b`dau*-mgjimu(1*(1?6jb-lnpu~88HA]N_U^*sguwsl6npu~Vlnpu~XV?X8y}6npu~Vlnpu~XV1X8yz6npu~Vlnpu~XV3X8??6



21/22


lnpu~&&6i`Nd`ds>b-??,??,??*6i`_djlu^j{g-7?*6i`Cgijl-I@T_DJLU^*6i`Rgsug}>b-y},yz,??*6i`Gle-*6i`B`w~m-*6

xx

rdje fgzcdase-wl~jilgenmasfgz,jlu },jlu z*v

~yjunm-fgz*vna~g)q);na~g)Q);

g}ju-?*6csgaf6

na~g)n);na~g)N);lnpu~8?6i`wu_d~uSgej~pàz-*6csgaf6

na~g)g);na~g)G);i`wu_d~uSgej~pàz-*6csgaf6

na~g)c);na~g)C);esaynwsrg~-*6csgaf6

xxrdje sg~mapg-jlu y,jlu m*v

yjeum8y6mgjimu8m6i`Hausj}Hdeg-I@T_SDKGNUJDL*6i`@daeJeglujuz-*6i`Dsumd-(1?,1?,(1?,1?,(1?,1?*6i`Hausj}Hdeg-I@THDEG@RJGY*6i`Rjgypdsu-?,?,y,m*6

x

jlu hajl-jlu asin,nmas++asir*v

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mini project on bezier curves using visual studio

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